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Finding the Third Proportional to 365,907 and 800,934

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Solution

The third proportional to 365,907 and 800,934 is: 1,753,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,907 : 800,934 = 800,934 : x
  2. Step 2: Convert to fraction form
    365,907/800,934 = 800,934/x
  3. Step 3: Cross multiply
    365,907x = 800,934 × 800,934
  4. Step 4: Simplify right side
    365,907x = 641,495,272,356
  5. Step 5: Solve for x
    x = 641,495,272,356/365,907
  6. Step 6: Final answer
    x = 1,753,164.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.